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57451032 = 23369851
BaseRepresentation
bin1101101100101…
…0001000011000
311000002211000000
43123022020120
5104201413112
65411213000
71265216502
oct333121030
9130084000
1057451032
112a47a8a1
12172a7160
13bb969c2
1478b6d72
15509c7dc
hex36ca218

57451032 has 56 divisors (see below), whose sum is σ = 161523540. Its totient is φ = 19148400.

The previous prime is 57451019. The next prime is 57451039. The reversal of 57451032 is 23015475.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 57450987 and 57451005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57451039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 907 + ... + 10757.

Almost surely, 257451032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57451032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80761770).

57451032 is an abundant number, since it is smaller than the sum of its proper divisors (104072508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57451032 is an equidigital number, since it uses as much as digits as its factorization.

57451032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9875 (or 9856 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 57451032 is about 7579.6459020194. The cubic root of 57451032 is about 385.8625334904.

The spelling of 57451032 in words is "fifty-seven million, four hundred fifty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 9851 19702 29553 39404 59106 78808 88659 118212 177318 236424 265977 354636 531954 709272 797931 1063908 1595862 2127816 2393793 3191724 4787586 6383448 7181379 9575172 14362758 19150344 28725516 57451032